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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 170, Number 2, Pages 174–187
DOI: https://doi.org/10.4213/tmf6757
(Mi tmf6757)
 

This article is cited in 41 scientific papers (total in 41 papers)

New perturbation theory representation of the conformal symmetry breaking effects in gauge quantum field theory models

A. L. Kataeva, S. V. Mikhailovb

a Institute for Nuclear Research, RAS, Moscow, Russia
b Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia
References:
Abstract: We propose a hypothesis on the detailed structure for the representation of the conformal symmetry breaking term in the basic Crewther relation generalized in the perturbation theory framework in QCD renormalized in the $\overline{\text{MS}}$ scheme. We establish the validity of this representation in the $\overline{\text{MS}}$ approximation. Using the variant of the generalized Crewther relation formulated here allows finding relations between specific contributions to the QCD perturbation series coefficients for the flavor nonsinglet part of the Adler function $D^{\text{ns}}_{\text{A}}$ for the electron–positron annihilation in hadrons and to the perturbation series coefficients for the Bjorken sum rule $S_{\text{Bjp}}$ for the polarized deep-inelastic lepton–nucleon scattering. We find new relations between the $\alpha_{\text{s}}^4$ coefficients of $D^{\text{ns}}_{\text{A}}$. Satisfaction of one of them serves as an additional theoretical verification of the recent computer analytic calculations of the terms of order $\alpha_{\text{s}}^4$ in the expressions for these two quantities.
Keywords: quantum field theory, conformal symmetry breaking, perturbation theory, renormalization group, relation between characteristics of inclusive processes.
Received: 12.02.2012
English version:
Theoretical and Mathematical Physics, 2012, Volume 170, Issue 2, Pages 139–150
DOI: https://doi.org/10.1007/s11232-012-0016-7
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. L. Kataev, S. V. Mikhailov, “New perturbation theory representation of the conformal symmetry breaking effects in gauge quantum field theory models”, TMF, 170:2 (2012), 174–187; Theoret. and Math. Phys., 170:2 (2012), 139–150
Citation in format AMSBIB
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\by A.~L.~Kataev, S.~V.~Mikhailov
\paper New perturbation theory representation of the~conformal symmetry breaking effects in gauge quantum field theory models
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  • This publication is cited in the following 41 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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